Pre-calculus Contents C
Parametric Equations
P
arametric equations definition
The parametric equations of a line
The parametric equations of a line passing through two points
The direction of motion of a parametric curve
Evaluation of parametric equations for given values of the parameter
Sketching parametric curve
Eliminating the parameter from parametric equations
Parametric and rectangular forms of equations
conversions
The parametric equations of a quadratic polynomial, parabola
The parametric equations of the parabola,
whose axis of symmetry is parallel to the y-axis
The parametric equations of the parabola
, whose axis of symmetry is parallel to the x-axis
The parametric equations of a circle
The parametric equations of a circle centered at the origin with radius
r
The parametric equations of a translated circle with center (x
0
,
y
0
) and radius
r
The parametric equations of an ellipse
The parametric equations of an ellipse centered at the origin
The parametric equations of a translated ellipse with center at
(
x
0
,
y
0
)
Parametric equations of a hyperbola
The parametric equations of a hyperbola expressed by trigonometric functions
The parametric equations of a hyperbola expressed by hyperbolic functions
The definition of the hyperbolic functions
Relations between hyperbolic and trigonometric or circular functions
The parametric equations of the equilateral or rectangular hyperbola
The parametric equations of the general hyperbola
Use of parametric equations example
Trigonometric Functions Basics
Unit of measurement of angles - a radian (the circular measure)
Degrees to radians and radians to degrees conversion examples
The unit circle or the trigonometric circle
Definitions of trigonometric functions
Periodicity of trigonometric functions
Signs of trigonometric functions
Trigonometric functions of arcs from
0
to
±
2
p
Trigonometric functions of negative arcs or angles
Trigonometric functions of complementary angles
Trigonometric functions of supplementary angles
Trigonometric functions of arcs that differ on
p/
2
Trigonometric functions of arcs that differ on
p
Trigonometric functions of arcs
whose sum is
2
p
Trigonometric functions of angles lying on axes
Values of trigonometric functions of arcs
p
/6
,
p
/4
and
p
/3
The values of the trigonometric functions of arcs that are multipliers
of
30° (
p
/6
)
and
45° (
p
/4
)
Pre-calculus Contents
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